An application executes 6.4×10⁸ instructions in 6.3 seconds. CPI and counts: Branch(CPI=2, 2.25×10⁸), Load(CPI=5, 1.20×10⁸), Store(CPI=4, 1.65×10⁸), Arithmetic(CPI=3, 1.30×10⁸). Clock cycle duration (ns)?

Answer: 3.0 nsTotal clock cycles:= 2×2.25×10⁸ + 5×1.20×10⁸ + 4×1.65×10⁸ + 3×1.30×10⁸= (4.5 + 6.0 + 6.6 + 3.9) × 10⁸ = 21×10⁸ cycles.Clock cycle time:T = execution time / total cycles = 6.3s / (21×10⁸) = 3×10⁻⁹ s = 3.0 ns.

GATE-CS is a competitive examination conducted in India. This question is from the 2025 GATE-CS Computer Organization and Architecture paper.

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An application executes 6.4×10⁸ instructions in 6.3 seconds. CPI and counts: Branch(CPI=2, 2.25×10⁸), Load(CPI=5, 1.20×10⁸), Store(CPI=4, 1.65×10⁸), Arithmetic(CPI=3, 1.30×10⁸). Clock cycle duration (ns)?

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